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Finding the Fourth Proportional to 813.75, 1,123.15 and 518.95

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Solution

The fourth proportional to 813.75, 1,123.15 and 518.95 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,123.15 = 518.95 : x
  2. Step 2: Convert to fraction form
    813.75/1,123.15 = 518.95/x
  3. Step 3: Cross multiply
    813.75x = 1,123.15 × 518.95
  4. Step 4: Simplify right side
    813.75x = 582,858.69
  5. Step 5: Solve for x
    x = 582,858.69/813.75
  6. Step 6: Final answer
    x = 716.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.